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22010002000 = 245371792479
BaseRepresentation
bin10100011111111001…
…011111101001010000
32002210220200221122021
4110133321133221100
5330034030031000
614040010421224
71406266634020
oct243771375120
962726627567
1022010002000
1193750882a8
124323131814
1320c9c4472c
1410cb225a80
1588c45711a
hex51fe5fa50

22010002000 has 160 divisors (see below), whose sum is σ = 64401592320. Its totient is φ = 7102310400.

The previous prime is 22010001991. The next prime is 22010002009. The reversal of 22010002000 is 20001022.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22010001991) and next prime (22010002009).

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22010002009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191761 + ... + 284239.

It is an arithmetic number, because the mean of its divisors is an integer number (402509952).

Almost surely, 222010002000 is an apocalyptic number.

22010002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22010002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32200796160).

22010002000 is an abundant number, since it is smaller than the sum of its proper divisors (42391590320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22010002000 is a wasteful number, since it uses less digits than its factorization.

22010002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92526 (or 92510 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 22010002000 its reverse (20001022), we get a palindrome (22030003022).

The spelling of 22010002000 in words is "twenty-two billion, ten million, two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 25 28 34 35 40 50 56 68 70 80 85 100 112 119 125 136 140 170 175 200 238 250 272 280 340 350 400 425 476 500 560 595 680 700 850 875 952 1000 1190 1360 1400 1700 1750 1904 2000 2125 2380 2800 2975 3400 3500 4250 4760 5950 6800 7000 8500 9520 11900 14000 14875 17000 23800 29750 34000 47600 59500 92479 119000 184958 238000 369916 462395 647353 739832 924790 1294706 1479664 1572143 1849580 2311975 2589412 3144286 3236765 3699160 4623950 5178824 6288572 6473530 7398320 7860715 9247900 10357648 11005001 11559875 12577144 12947060 15721430 16183825 18495800 22010002 23119750 25154288 25894120 31442860 32367650 36991600 39303575 44020004 46239500 51788240 55025005 62885720 64735300 78607150 80919125 88040008 92479000 110050010 125771440 129470600 157214300 161838250 176080016 184958000 196517875 220100020 258941200 275125025 314428600 323676500 393035750 440200040 550250050 628857200 647353000 786071500 880400080 1100500100 1294706000 1375625125 1572143000 2201000200 2751250250 3144286000 4402000400 5502500500 11005001000 22010002000